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Finding the Third Proportional to 44,822.81 and 96,561.28

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Solution

The third proportional to 44,822.81 and 96,561.28 is: 208,020.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,822.81 : 96,561.28 = 96,561.28 : x
  2. Step 2: Convert to fraction form
    44,822.81/96,561.28 = 96,561.28/x
  3. Step 3: Cross multiply
    44,822.81x = 96,561.28 × 96,561.28
  4. Step 4: Simplify right side
    44,822.81x = 9,324,081,036.64
  5. Step 5: Solve for x
    x = 9,324,081,036.64/44,822.81
  6. Step 6: Final answer
    x = 208,020.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.